Given numbers are 157,128,588,868,370

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 157,128,588,868,370 is 16941832320.

Find LCM of 157,128,588,868,370 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 157 x 32 x 21 x 31 x 185 = 16941832320

Therefore, the lowest common multiple of 157,128,588,868,370 is 16941832320.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

157 x 128 x 588 x 868 x 370 = 3794970439680

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

157 : 1, 157

128 : 1, 2, 4, 8, 16, 32, 64, 128

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,128,588,868,370, is 1.

Now, the common factors can be found like this.

157:157

128:2x 2x 2x 2x 2x 2x 2

588:2x 2x 3x 7x 7

868:2x 2x 7x 31

370:2x 5x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 7 = 224

Therefore, the value for common factors is 224.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3794970439680/(1x224)

LCM = 3794970439680/224

LCM = 16941832320

Thus, we can understand that the LCM of 157,128,588,868,370 is 16941832320.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 998, 227, 135, 217, 331
• LCM of 789, 645, 756, 195, 459
• LCM of 440, 783, 169, 604, 924
• LCM of 777, 917, 208, 488, 185
• LCM of 986, 727, 904, 747, 912

1. What is the LCM of 157, 128, 588, 868, 370?

Answer: LCM of 157, 128, 588, 868, 370 is 16941832320.

2. How to calculate the LCM of 157, 128, 588, 868, 370?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 157, 128, 588, 868, 370.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.